Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics

DOI10.3233/ASY-241919MaRDI QIDQ6654961

Marcelo M. Disconzi, Yuanzhen Shao

Publication date: 20 December 2024

Published in: Asymptotic Analysis (Search for Journal in Brave)

zbMATH Keywords

relativistic fluidsstrong hyperbolicityfirst-order quasilinear systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Initial value problems for linear first-order PDEs (35F10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) First-order hyperbolic equations (35L02)

Cites Work

• Title not available (Why is that?)
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• Stable and causal relativistic Navier-Stokes equations
• Compressible fluid flow and systems of conservation laws in several space variables
• The Cauchy problem in general relativity.
• Pseudodifferential operators and nonlinear PDE
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Partial differential equations. 1: Basic theory
• Partial differential equations. 2: Qualitative studies of linear equations
• Rough sound waves in \(3D\) compressible Euler flow with vorticity
• Rough solutions of the 3-D compressible Euler equations
• Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics
• Local existence and uniqueness in Sobolev spaces for first-order conformal causal relativistic viscous hydrodynamics
• First-order relativistic hydrodynamics is stable
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
• Linear evolution equations of hyperbolic type. II
• Relativistic hydrodynamics
• On cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Symmetric hyperbolic linear differential equations

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